5595200 has 84 divisors (see below), whose sum is σ = 14881860. Its totient is φ = 2058240.

The previous prime is 5595197. The next prime is 5595223. The reversal of 5595200 is 25955.

It can be written as a sum of positive squares in 6 ways, for example, as 1784896 + 3810304 = 1336^2 + 1952^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 5595200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20666 + ... + 20934.

It is an arithmetic number, because the mean of its divisors is an integer number (177165).

Almost surely, 2^5595200 is an apocalyptic number.

5595200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5595200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7440930).

5595200 is an abundant number, since it is smaller than the sum of its proper divisors (9286660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5595200 is a wasteful number, since it uses less digits than its factorization.

5595200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 26.

The square root of 5595200 is about 2365.4175107156. The cubic root of 5595200 is about 177.5300484737.

The spelling of 5595200 in words is "five million, five hundred ninety-five thousand, two hundred".